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2015 Math Kangaroo

Problem 11

Problem 11 · 2015 Math Kangaroo Medium
Spatial & Visual Reasoning dice-faces

In the diagram one can see my decision-die in three different positions. What is the probability I get a “YES”, when rolling this die once?

Figure for Math Kangaroo 2015 Problem 11
Show answer
Answer: B — \(\frac{1}{2}\)
Show hints
Hint 1 of 2
Figure out the full set of six faces from the three views, then count how many say YES.
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Hint 2 of 2
The die has 3 faces YES, 2 no, 1 maybe; the probability is the YES fraction.
Show solution
Approach: identify all six faces, then take the fraction
  1. The three views together reveal the die's faces: three say YES, two say no, one says maybe.
  2. Probability of YES = 3 out of 6 = 1/2.
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